# Do you know its property ?-13

Algebra Level 4

Let $A=\begin{pmatrix} 4 & 1 \\ -9 &-2 \end{pmatrix}.$ If $A^{100}$ can be represented as $A^{100}=\begin{pmatrix} a & b \\ c & d \end{pmatrix},$ what is the value of $a+b+c+d?$

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